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A106839 Numbers congruent to 11 mod 16.

%I A106839 #33 Apr 03 2025 18:02:03
%S A106839 11,27,43,59,75,91,107,123,139,155,171,187,203,219,235,251,267,283,
%T A106839 299,315,331,347,363,379,395,411,427,443,459,475,491,507,523,539,555,
%U A106839 571,587,603,619,635,651,667,683,699,715,731,747,763,779,795,811,827,843
%N A106839 Numbers congruent to 11 mod 16.
%H A106839 Vincenzo Librandi, <a href="/A106839/b106839.txt">Table of n, a(n) for n = 0..10000</a>
%H A106839 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>.
%H A106839 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).
%F A106839 G.f.: x*(11+5*x)/(x-1)^2. - _R. J. Mathar_, Oct 08 2011
%F A106839 From _Vincenzo Librandi_, Oct 10 2011: (Start)
%F A106839 a(n) = 11 + 16*n.
%F A106839 a(n) = 32*n - a(n-1) + 6, a(0)=11. (End)
%F A106839 From _Elmo R. Oliveira_, Apr 03 2025: (Start)
%F A106839 E.g.f.: exp(x)*(11 + 16*x).
%F A106839 a(n) = 2*a(n-1) - a(n-2).
%F A106839 a(n) = A017101(2*n+1). (End)
%t A106839 Range[11, 1000, 16] (* _Vladimir Joseph Stephan Orlovsky_, May 31 2011 *)
%t A106839 LinearRecurrence[{2,-1},{11,27},60] (* _Harvey P. Dale_, Aug 12 2021 *)
%o A106839 (Magma) [[ n : n in [1..1000] | n mod 16 eq 11]]; // _Vincenzo Librandi_, Oct 10 2011
%o A106839 (PARI) a(n)=16*n+11 \\ _Charles R Greathouse IV_, Oct 16 2015
%o A106839 (Python)
%o A106839 def a(n): return 11 + 16*n
%o A106839 print([a(n) for n in range(53)]) # _Michael S. Branicky_, Nov 27 2021
%Y A106839 Differs from A044072.
%Y A106839 Cf. A008598, A017101, A051062, A119413.
%K A106839 nonn,easy
%O A106839 0,1
%A A106839 _Ralf Stephan_, May 03 2005